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Mathematics
Mathematics
Problem
Prove that for any square matrix
A
A
A
of order
n
n
n
,
(
I
n
+
A
)
(
I
n
−
A
)
=
I
n
−
A
2
(I_n + A)(I_n - A) = I_n - A^2
(
I
n
+
A
)
(
I
n
−
A
)
=
I
n
−
A
2
.
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